Suppose that a one-tail t-test is being applied to find out if the population mean is less than 100. The level of significance is 0.05 and 25 observations were sampled. The rejection region is: A) t 1.708 B) t 1.318 D) t

Question

Suppose that a one-tail t-test is being applied to find out if the population mean is less than 100. The level of significance is 0.05 and 25 observations were sampled. The rejection region is: A) t > 1.708 B) t < -1.711 C) t > 1.318 D) t < -1.316 E) t < -1.542

Quizplus · Accepted Answer

For a one-tail t-test where the hypothesis is testing if the population mean is less than a certain value (in this case, 100), and given the level of significance is 0.05 with 25 observations (which means 24 degrees of freedom), the rejection region would be in the left tail of the t-distribution. The correct critical value for a one-tailed test with a 0.05 significance level and 24 degrees of freedom is approximately -1.711, thus option B is correct.

Suppose That a One-Tail T-Test Is Being Applied to Find